Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals

We formulate and exploit a computational inverse-design method based on topology optimization to demonstrate photonic crystal structures supporting complex spectral degeneracies. In particular, we discover photonic crystals exhibiting third-order Dirac points formed by the accidental degeneracy of m...

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Main Authors: Lin, Zin, Lončar, Marko, Rodriguez, Alejandro W., Pick, Adi
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: American Physical Society 2017
Online Access:http://hdl.handle.net/1721.1/110381
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author Lin, Zin
Lončar, Marko
Rodriguez, Alejandro W.
Pick, Adi
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Lin, Zin
Lončar, Marko
Rodriguez, Alejandro W.
Pick, Adi
author_sort Lin, Zin
collection MIT
description We formulate and exploit a computational inverse-design method based on topology optimization to demonstrate photonic crystal structures supporting complex spectral degeneracies. In particular, we discover photonic crystals exhibiting third-order Dirac points formed by the accidental degeneracy of monopolar, dipolar, and quadrupolar modes. We show that, under suitable conditions, these modes can coalesce and form a third-order exceptional point, leading to strong modifications in the spontaneous emission (SE) of emitters, related to the local density of states. We find that SE can be enhanced by a factor of 8 in passive structures, with larger enhancements ∼√n³ possible at exceptional points of higher order n.
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spelling mit-1721.1/1103812022-09-29T17:10:18Z Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals Lin, Zin Lončar, Marko Rodriguez, Alejandro W. Pick, Adi Massachusetts Institute of Technology. Department of Mathematics Pick, Adi We formulate and exploit a computational inverse-design method based on topology optimization to demonstrate photonic crystal structures supporting complex spectral degeneracies. In particular, we discover photonic crystals exhibiting third-order Dirac points formed by the accidental degeneracy of monopolar, dipolar, and quadrupolar modes. We show that, under suitable conditions, these modes can coalesce and form a third-order exceptional point, leading to strong modifications in the spontaneous emission (SE) of emitters, related to the local density of states. We find that SE can be enhanced by a factor of 8 in passive structures, with larger enhancements ∼√n³ possible at exceptional points of higher order n. United States. Air Force Office of Scientific Research (FA9550-14-1-0389) National Science Foundation (U.S.) (DMR-1454836) National Science Foundation (U.S.) (DGE1144152) 2017-06-30T13:48:37Z 2017-06-30T13:48:37Z 2016-08 2016-05 2016-08-30T22:00:04Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/110381 Lin, Zin; Pick, Adi; Lončar, Marko and Rodriguez, Alejandro W. "Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals." Physical Review Letters 117, 107402: 1-6 © 2016 American Physical Society en http://dx.doi.org/10.1103/PhysRevLett.117.107402 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Lin, Zin
Lončar, Marko
Rodriguez, Alejandro W.
Pick, Adi
Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
title Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
title_full Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
title_fullStr Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
title_full_unstemmed Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
title_short Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
title_sort enhanced spontaneous emission at third order dirac exceptional points in inverse designed photonic crystals
url http://hdl.handle.net/1721.1/110381
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